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Finding the Fourth Proportional to 22,545.82, 31,112.94 and 12,473.47

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Solution

The fourth proportional to 22,545.82, 31,112.94 and 12,473.47 is: 17,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545.82 : 31,112.94 = 12,473.47 : x
  2. Step 2: Convert to fraction form
    22,545.82/31,112.94 = 12,473.47/x
  3. Step 3: Cross multiply
    22,545.82x = 31,112.94 × 12,473.47
  4. Step 4: Simplify right side
    22,545.82x = 388,086,323.70
  5. Step 5: Solve for x
    x = 388,086,323.70/22,545.82
  6. Step 6: Final answer
    x = 17,213.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.